Math 185. Complex Analysis
Department of Mathematics
University of California, Berkeley
This is an introductory course on complex analysis.
The official prerequisite for taking this course is Math
104: Introduction to Analysis.
- 12/08/09: Office hours 1–2PM, Wed, Dec 09 and 1–3PM, Tue,
- 12/05/09: Revision lecture in 9 Evans, 1–2PM, Mon, Dec
- 12/05/09: Problem Set 10 and solutions posted.
- 12/05/09: Final Exam to be held in 2 Leconte from
5–8PM, Wed, Dec 16.
- 11/30/09: Solutions to Problem Set
- 11/23/09: Solutions to Problem Set
- 11/20/09: Problem Set 9 posted.
- 11/17/09: Solutions to Problem Set
- 11/14/09: Solutions to Problem Set
- 11/14/09: Problem Set 8 posted.
- 11/08/09: Problem Set 7 posted.
- 11/01/09: Problem Set 6 posted.
- 10/24/09: Solutions to Problem Set
- 10/21/09: Office hours next week: 2–3PM on Mon, Oct 26
and Tue, Oct 27.
- 10/21/09: Solutions to Problem Set
- 10/19/09: Midterm Exam to be held in 106 Stanley from
1–2PM, Wed, Oct 28.
- 10/19/09: Solutions to Problem Set
- 10/17/09: Problem Set 5 posted.
- 10/12/09: Mon 12–1PM office hour moved to Fri 2–3PM.
- 10/03/09: Problem Set 4 posted.
- 09/29/09: Solutions to Problem Set
- 09/26/09: Problem Set 3 posted.
- 09/18/09: Office hours next week: MW 4–5PM, W 2–3PM.
- 09/17/09: Problem Set 2 posted.
- 09/11/09: Solutions to Problem Set
- 09/05/09: Problem Set 1 posted.
- 08/14/09: This class is currently oversubscribed. Prof. Richard
Borcherds will teach the same course 3:30–5, TT in 123 Wheeler Hall.
Please attend his lectures instead if you are still on the waiting
- 08/14/09: Check this page regularly for announcements.
Location: Evans Hall,
Times: 1:00–2:00 PM on Mon/Wed/Fri
Evans Hall, Room 873
Office hours: 12:00–1:00 PM, Mon and Wed, 2:00 AM–3:00
- Analytic functions of a complex variable
- Cauchy's integral theorem
- Power series
- Laurent series
- Singularities of analytic functions
- Residue theorem with application to definite integrals
- Additional topics
Homework will be assigned once a week and will be due the following
week (except possibly in the weeks when there is a midterm).
Collaborations are permitted but you will need to write up your own
- Problem Set 10: PDF (posted: Dec 05;
not collected); Solutions: PDF
(posted: Dec 05)
- Problem Set 9: PDF (posted: Nov 20;
due: Nov 30); Solutions: PDF
(posted: Nov 30)
- Problem Set 8: PDF (posted: Nov 14;
due: Nov 20); Solutions: PDF
(posted: Nov 23)
- Problem Set 7: PDF (posted: Nov 08;
due: Nov 13)); Solutions: PDF
(posted: Nov 17)
- Problem Set 6: PDF (posted: Nov 01;
due: Nov 06); Solutions: PDF
(posted: Nov 14)
- Problem Set 5: PDF (posted: Oct 17;
due: Oct 23); Solutions: PDF
(posted: Oct 24)
- Problem Set 4: PDF (posted: Oct 03;
due: Oct 07); Solutions: PDF
(posted: Oct 21)
- Problem Set 3: PDF (posted: Sep 26;
due: Oct 02); Solutions: PDF
(posted: Oct 19)
- Problem Set 2: PDF (posted: Sep 17;
due: Sep 25); Solutions: PDF
(posted: Sep 29)
- Problem Set 1: PDF (posted: Sep 05;
due: Sep 11); Solutions: PDF (posted:
Bug report on the problem sets or the solutions:
Grade composition: 40% Homework, 20% Midterm, 40% Final
The second book is optional. It's more advanced than the first book but
covers the same basic materials. You can choose either of them — buy
the second book if you're looking for something that remains useful in
a graduate course on complex analysis.
- Joseph Bak and Donald Newman, Complex Analysis, 2nd Ed.,
Springer, 1997. Buy
- David Ullrich, Complex Made Simple, AMS, 2008. Buy or browse